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Finding the Fourth Proportional to 3,254.72, 4,881.54 and 914.88

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Solution

The fourth proportional to 3,254.72, 4,881.54 and 914.88 is: 1,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.72 : 4,881.54 = 914.88 : x
  2. Step 2: Convert to fraction form
    3,254.72/4,881.54 = 914.88/x
  3. Step 3: Cross multiply
    3,254.72x = 4,881.54 × 914.88
  4. Step 4: Simplify right side
    3,254.72x = 4,466,023.32
  5. Step 5: Solve for x
    x = 4,466,023.32/3,254.72
  6. Step 6: Final answer
    x = 1,372.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.